Initial boundary-value problem for parabolic systems in dihedral domains

• Datum: 2020
• Hauptverfasser: Duong, P. T., Зыонг, Ф. Ч.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1094
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We present some results on the smoothness of the solution of the initial boundary-value problem for the parabolic system of partial differential equations $$u_t -(-1)^m P(x,t,D_x )u = f(x,t)\quad \text{in } \Omega_T := \Omega\times(0,T),$$ $$\frac{\partial^j u}{\partial \nu^j } = 0 \quad \...